The 17.35 g of
NaCl
sample was dissolv
ed in an unknown amount of water. All we know is that prepared
solution has 22.5% of
NaCl
.
The mass of water is
_____ g.
% mass w/w means (gsolute/total g)*100 = ?
[17.35/(17.35+x)]*100 =22.5
Solve for x
To find the mass of water in the solution, we need to first determine the mass of NaCl in the solution.
Given:
Mass of NaCl sample = 17.35 g
Percent of NaCl in the solution = 22.5%
Step 1: Calculate the mass of NaCl in the solution
To find the mass of NaCl in the solution, we can use the percentage composition formula:
Mass of NaCl in the solution = (Percentage of NaCl/100) * Total mass of the solution
Mass of NaCl in the solution = (22.5/100) * Total mass of the solution
Step 2: Calculate the mass of water in the solution
Now, we can find the mass of water in the solution by subtracting the mass of NaCl from the total mass of the solution.
Mass of water in the solution = Total mass of the solution - Mass of NaCl in the solution
Mass of water in the solution = Total mass of the solution - (22.5/100) * Total mass of the solution
However, we don't have the total mass of the solution, so we'll set up an equation to solve for the mass of water.
17.35 g + Mass of water in the solution = Total mass of the solution
Now, substitute this equation into the previous equation to solve for the mass of water.
Mass of water in the solution = Total mass of the solution - (22.5/100) * (17.35 g + Mass of water in the solution)
Now, we can solve for the mass of water using algebraic manipulation.
Mass of water in the solution + (22.5/100) * Mass of water in the solution = Total mass of the solution - (22.5/100) * 17.35 g
Combining like terms:
(1 + 22.5/100) * Mass of water in the solution = Total mass of the solution - (22.5/100) * 17.35 g
Simplifying the fractions:
(1 + 0.225) * Mass of water in the solution = Total mass of the solution - (0.225) * 17.35 g
1.225 * Mass of water in the solution - 0.225 * Mass of water in the solution = Total mass of the solution - (0.225) * 17.35 g
0.225 * Mass of water in the solution = Total mass of the solution - (0.225) * 17.35 g
Divide both sides by 0.225:
Mass of water in the solution = (Total mass of the solution - (0.225) * 17.35 g) / 0.225
Now, substituting the given values:
Mass of water in the solution = (Total mass of the solution - (0.225) * 17.35 g) / 0.225
Note: We still need the total mass of the solution to find the mass of water accurately.